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3067070106420 = 22325371672757611
BaseRepresentation
bin101100101000011011100…
…111111100101100110100
3101212012122101111200220200
4230220123213330230310
5400222324421401140
610304554220400500
7434405566516665
oct54503347745464
911765571450820
103067070106420
11a828121313a1
124165036a6130
131932b9c6b0c8
14a863875536c
1554baca0d030
hex2ca1b9fcb34

3067070106420 has 144 divisors (see below), whose sum is σ = 9612108874368. Its totient is φ = 791014913280.

The previous prime is 3067070106391. The next prime is 3067070106509. The reversal of 3067070106420 is 246010707603.

3067070106420 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 0 + 7 + 0 + 1 + 0 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266586 + ... + 2491025.

It is an arithmetic number, because the mean of its divisors is an integer number (66750756072).

Almost surely, 23067070106420 is an apocalyptic number.

3067070106420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3067070106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806054437184).

3067070106420 is an abundant number, since it is smaller than the sum of its proper divisors (6545038767948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3067070106420 is a wasteful number, since it uses less digits than its factorization.

3067070106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757830 (or 2757825 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 3067070106420 in words is "three trillion, sixty-seven billion, seventy million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 167 180 185 222 333 334 370 444 501 555 666 668 740 835 1002 1110 1332 1503 1665 1670 2004 2220 2505 3006 3330 3340 5010 6012 6179 6660 7515 10020 12358 15030 18537 24716 30060 30895 37074 55611 61790 74148 92685 111222 123580 185370 222444 278055 370740 556110 1112220 2757611 5515222 8272833 11030444 13788055 16545666 24818499 27576110 33091332 41364165 49636998 55152220 82728330 99273996 102031607 124092495 165456660 204063214 248184990 306094821 408126428 460521037 496369980 510158035 612189642 918284463 921042074 1020316070 1224379284 1381563111 1530474105 1836568926 1842084148 2040632140 2302605185 2763126222 3060948210 3673137852 4144689333 4591422315 4605210370 5526252444 6121896420 6907815555 8289378666 9182844630 9210420740 13815631110 16578757332 17039278369 18365689260 20723446665 27631262220 34078556738 41446893330 51117835107 68157113476 82893786660 85196391845 102235670214 153353505321 170392783690 204471340428 255589175535 306707010642 340785567380 511178351070 613414021284 766767526605 1022356702140 1533535053210 3067070106420